Alice$(A)$ and Bob$($B$)$ use EiGamal enciyption sostem with public key parameters $q=29,g=2.$ Alice chooses the secret key, $x_k-5.$ Bob chooses the random integer $k=8,$ and wants to encrypt the message $m=15.$ Compute $C-(C_1,C_2).$ Note: $1.$ To be fully graded, provide a detaled aratution with a computations included. $2.$ Feal free to make assumptions for any neceasary waluen not explicitly provided in the question.

Note: provide a handwritten, detailed solution with all computations